Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT

A man in a car saw a Golden Door, Silver Door and a Bronze Door. What door did he open first?

Can you find a pattern and the missing number in the series given below?

100, 155, 258,? , 584, 819.

What is the next number in this series?

4,12,84,3612....

I have a big mouth and I am also quite loud! I am NOT a gossip but I do get involved with everyone's dirty business.

At a Society election for president, precisely 963 votes were cast.
There is a total of 4 candidates that participate in the election.

The winning candidate exceeds the opponents by 53, 79 and 105 votes.

How many votes do each candidate gets?

I am an odd number. Take away a letter and I become even. What number am I?

Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not rounded numerals equals 24.

At the local model boat club, four friends were talking about their boats.

There were a total of eight boats, two in each colour, red, green, blue and yellow. Each friend owned two boats. No friend had two boats of the same colour.

Alan didn't have a yellow boat. Brian didn't have a red boat but did have a green one. One of the friends had a yellow boat and a blue boat and another friend had a green boat and a blue boat. Charles had a yellow boat. Darren had a blue boat, but didn't have a green one.

Can you work out which friend had which coloured boats?

There are a number of books on a shelf. If one book is the 4th from the left and 6th from the right, how many books are on the shelf?